Question: Light intensity. A light source is placed at a distancea > 0from a straight line. It radiates uniformly in all directions that eventually hit the

Light intensity. A light source is placed at a distancea > 0from a straight line. It radiates uniformly in all directions that eventually hit the line. Denote by X the point where a light ray hits the straight line. Show that X has the distribution density ca.x/ D a=..a2Cx2// on R.

The corresponding distribution is called the Cauchy distribution with parameter a.

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